Properties of Derivates and Some Applications

被引：0
|
作者：
McAsey, Michael [1 ]
Mou, Libin [1 ]
机构：
[1] Bradley Univ, Peoria, IL 61625 USA
来源：
VARIATIONAL ANALYSIS AND GENERALIZED DIFFERENTIATION IN OPTIMIZATION AND CONTROL: IN HONOR OF BORIS S. MORDUKHOVICH | 2010年 / 47卷
关键词：
OPTIMIZATION PROBLEMS;
D O I：
10.1007/978-1-4419-0437-9_2
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
In this chapter, we generalize the concept of derivates, defined recently in the literature, to maps defined on a topological space. The derivate of a map has some interesting properties and applications to optimization problems. For example, it is closely related to various notions of tangent spaces of the range of the map. It strengthens the necessary condition (Fermat's theorem) for an extremum point to a sufficient condition.
引用
收藏
页码：43 / 57
页数：15
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